Tamara has decided to start saving for spending money for her first year of college. her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. she is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. explain to tamara how she can create a function that combines the two, and describe any simplification that can be done.

Given: Tamara has decided to start saving for spending money for her first year of college.

The current amount in her suitcase is functioned by , which is a constant function.

The money she earn by baby siting is functioned by , where x is measured in hours.

Tamara can combine both the functions, to find the total money she has after x hours .

Let p(x) be the function which represents  the total money she has after x hours .

such that ,

the simplest form of the function.